6533b7ddfe1ef96bd1274043
RESEARCH PRODUCT
Reliable estimates in the anisotropic heat conduction problems
Tero TuovinenPekka NeittaamäkiSvetlana A. IvanovaNikolay BanichukNikolay Banichuksubject
EngineeringMathematical optimizationbusiness.product_categoryOptimization problembusiness.industry020209 energyAnisotropic materialProcess (computing)02 engineering and technologyDissipationThermal conductionUpper and lower boundsUncertaintiesPaper machine020401 chemical engineeringlämmön johtuminen0202 electrical engineering electronic engineering information engineeringApplied mathematics0204 chemical engineeringAnisotropybusinessReliable estimatesEnergy (signal processing)description
Abstract The heat conduction problems for anisotropic bodies are studied taking into account the uncertainties in the material orientation. The best estimations of the upper and lower bounds of the considered energy dissipation functional are based on developing new approach consisting in solution of some optimization problems and finding the extremal internal material structures, which realize minimal and maximal dissipation. The motivation of this study comes from paper making processes, and more precisely, drying process, which consumes about 50% of the energy fed into the paper machine. The understanding of the effect of uncertainties in the process arises from structural properties of paper will provide the possibility to optimize the drying system.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-08-21 | Journal of Uncertainty Analysis and Applications |